Heat transfer in an iron: consider the base plate of a 1200- w household iron that has a thickness of l = 0.5 cm, base area of a = 300 cm2 , and thermal conductivity of k = 15w/m–k. the inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside, and the outer surface is exposed to ambient air and large surroundings at t_infinity = t_surface. the areas of both the inner and outer surfaces are a_s = 0.040 m2. an approximately uniform heat flux of q'' = 1.25x10^4 w/m2 is applied to the inner surface of the base plate, and the convection coefficient at the outer surface is h = 10 w/m2*k.(a) sketch the system and simplify the energy balance equation for the base plate, taking radiative effects into account.